ft³ vers gal(US) convertisseur - Pied Cube vers Gallon US

Conversion derivation

Express both ft³ and gal(US) in the same base unit m³ (cubic meter), then cancel the shared base unit.

1. 1

   Rewrite ft³ in the base unit

   $$1\mathrm{f}{\mathrm{t}}^3=0.0283168{\mathrm{m}}^3$$
2. 2

   Rewrite gal(US) in the base unit

   $$1\mathrm{gal}(\mathrm{US})=0.00378541{\mathrm{m}}^3$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{f}{\mathrm{t}}^3& =\frac{0.0283168\cancel{{\mathrm{m}}^3}}{0.00378541\cancel{{\mathrm{m}}^3}}\times 1\mathrm{gal}(\mathrm{US})\\ & =\frac{0.0283168}{0.00378541}\mathrm{gal}(\mathrm{US})\\ & =7.48051069765\mathrm{gal}(\mathrm{US})\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{gal}(\mathrm{US})& =\frac{0.00378541\cancel{{\mathrm{m}}^3}}{0.0283168\cancel{{\mathrm{m}}^3}}\times 1\mathrm{f}{\mathrm{t}}^3\\ & =\frac{0.00378541}{0.0283168}\mathrm{f}{\mathrm{t}}^3\\ & =0.13368071251\mathrm{f}{\mathrm{t}}^3\end{array}$$